OK so this is more intended as encouragement/entertainment than advice, as it turns out that what happened to me this one time was I happened to be in such a location that I ran into trouble with a specific server that wasn’t configured correctly inside of amazon.
Things were a bit busier at that time so with some dev input I just kept on troubleshooting, heh. It turns out it really was just me having connection problems, but it wasn’t my problem (or theirs), of course.
I just linked into the post where Blake identified the issue but that’s a thread full of deeper and deeper troubleshooting while I had odd partial connection issues for a couple of days and everything worked fine for everybody else.
Two weeks is a while, though. Sorry to hear it.